A rideshare driver has a daily goal of earning at least 150. So far today, the driver has … — SAT

A rideshare driver has a daily goal of earning at least $150. So far today, the driver has earned$ 45. The driver earns $12 per ride plus an average tip of$ 3 per ride. If the driver must pay a daily vehicle fee of $15, what is the minimum number of additional rides the driver must complete today to meet or exceed the daily earnings goal?

Cevap: 8 rides

Cevap

The minimum number of additional rides the driver must complete today is 8.

The driver earns

12 plus a

3 tip per ride, which is

15 per ride. Starting with

45 and subtracting the

15 fee leaves the driver with

30 before completing any new rides. To reach at least

150, the driver needs to earn at least

120 more. Dividing

120 by the

15 rate per ride gives a minimum of 8 rides.

Adım Adım Çözüm

Define the variable

x

for the number of additional rides and write an inequality representing the total net earnings.

45 + 12x + 3x - 15 \geq 150

To represent the condition that the driver's total earnings, including initial earnings and new rides, minus the fee, must be at least $150.

Simplify the left side of the inequality by combining the constants and the

x

terms.

30 + 15x \geq 150

To group like terms and simplify the expression before solving.

Subtract 30 from both sides of the inequality to isolate the variable term.

15x \geq 120

To isolate the term with the variable on one side of the inequality.

Divide both sides of the inequality by 15 to solve for

x

x \geq 8

To find the minimum value of

x

that satisfies the inequality.

Anahtar Kavram

Solving linear inequalities in one variable to find a minimum threshold value in a real-world scenario.

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